What is the Least Common Multiple of 67958 and 67969?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 67958 and 67969 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67958 and 67969, than apply into the LCM equation.

GCF(67958,67969) = 11
LCM(67958,67969) = ( 67958 × 67969) / 11
LCM(67958,67969) = 4619037302 / 11
LCM(67958,67969) = 419912482

Least Common Multiple (LCM) of 67958 and 67969 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67958 and 67969. First we will calculate the prime factors of 67958 and 67969.

Prime Factorization of 67958

Prime Factorization of 67969

Now multiplying the highest exponent prime factors to calculate the LCM of 67958 and 67969.

LCM(67958,67969) = 2¹ × 11¹ × 3089¹ × 37¹ × 167¹
LCM(67958,67969) = 419912482